Statements A, B, C, D and E correctly describe core equivalence laws of propositional logic, while F is false. Double negation, De Morgan’s laws, the implication law and distributivity are all standard tools for simplifying or transforming statements. In reasoning questions, these equivalences can be applied implicitly even if symbolic notation is not shown. F is wrong because such simplifications are central to many exam solutions. Thus A, B, C, D and E only is the correct combination.
Option A:
Option A is incomplete since it omits E, leaving out the distributive law, which is also a recognised equivalence. While A, B, C and D are all true, the absence of E means one important law is missing. Therefore this option does not capture the full set of correct statements.
Option B:
Option B is wrong because it includes F, which asserts that these equivalences are never used in UGC NET reasoning. In practice, many items rely on them, even if test-takers apply them informally. Including F therefore makes the overall combination incorrect.
Option C:
Option C is incorrect since it omits A and retains only B, C, D and E. Without A, the crucial principle of double negation is missing, which is a basic equivalence often taught alongside the others. This omission prevents the option from representing all true statements.
Option D:
Option D is correct as it brings together all five valid equivalences and excludes the single false statement. It accurately reflects how formal logic simplifies complex expressions and how those ideas underlie exam questions. Hence it is the right answer.
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